The invention belongs to the technical field of titanium alloy pipe straightening, and discloses a pipe straightening control system and method and application of the pipe straightening control methodto titanium alloy pipe straightening. The two ends of a special-shaped pipe are clamped through a clamping device, the left end is fixed, the right end can be moved on a platform, and thus, the pipehas certain tension; and heating is conducted through an electric contact heating mode, residual stress of the titanium alloy special-shaped pipe is removed, meanwhile, under the tension condition, clamping heads at the two ends can be rotated, stress is thoroughly released, torsion of the pipe is eliminated, then, the tension and rotation angle are kept, the special-shaped pipe is cooled to the indoor temperature, fixtures at the two ends are dissembled, and straightening is completed. The torsion angle of the straightened titanium alloy special-shaped pipe is smaller than 1 degree; the straightening mode with drawing and rotating being conducted at the same time is adopted, and the problem that a high-torsion-degree titanium alloy special-shaped pipe is difficult to straighten is effectively solved; and by adopting electric heating straightening, work hardening and residual stress in the machining process of the titanium alloy special-shaped pipe are eliminated, and the problems of residual strain and resilience in the pressure straightening process are solved.